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Lösung 1.2:3d

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We differentiate the function successively, one part at a time,

ddxsincossinx=coscossinxcossinx 

and the next differentiation becomes

ddxcossinx=sinsinxsinx=sinsinxcosx.

The answer is thus

ddxsincossinx=coscossinx(sinsinxcosx)=coscossinxsinsinxcosx.